The ALMaQUEST survey IX: the nature of the resolved star forming main sequence

We investigate the nature of scaling relations between surface density star formation rate ($\Sigma _{\rm SFR}$), stellar mass _*$), and molecular gas H_2}$), aiming at distinguishing that are primary, i.e. more fundamental, those which instead an indirect by-product other relations. use ALMaQUEST survey analyse data by using both partial correlations Random Forest regression techniques. unambiguously find strongest intrinsic correlation is $\Sigma SFR}$ $\Sigma_{\rm H_2}$ (i.e. resolved Schmidt-Kennicutt relation), followed _*$ (resolved Molecular Gas Main Sequence, rMGMS). Once these two taken into account, we there no evidence for any _*$, implying SFR entirely driven amount gas, while its dependence on Star Forming rSFMS) simply emerges as a consequence relationship mass.